λ
Ratio Atlas

5,246,724

22 × 3 × 72 × 8923
Abundant Even Composite

5,246,724 factors as 2^2 × 3 × 7^2 × 8923. Its 36 positive divisors give a proper-divisor sum of 8,995,980, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 8923
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,242,704
Proper Divisor Sum 8,995,980
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5246723 ← → #5246743

Radix Representation

Decimal 5246724
Binary 10100000000111100000100 (23 bits)
Octal 0o24007404
Hexadecimal 0x500F04

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 8,923 17,846 26,769 35,692 53,538 62,461 107,076 124,922 187,383 249,844 374,766 437,227 749,532 874,454 1,311,681 1,748,908 2,623,362 5,246,724

Collatz Trajectory (113 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,246,724 2,623,362 1,311,681 3,935,044 1,967,522 983,761 2,951,284 1,475,642 737,821 2,213,464 1,106,732 553,366 276,683 830,050 415,025 1,245,076 622,538 311,269 933,808 466,904 233,452 116,726 58,363 175,090 87,545 262,636 131,318 65,659 196,978 98,489 295,468 147,734 73,867 221,602 110,801 332,404 166,202 83,101 249,304 124,652 62,326 31,163 93,490 46,745 140,236 70,118 35,059 105,178 52,589 157,768 78,884 39,442 19,721 59,164 29,582 14,791 44,374 22,187 66,562 33,281

More profiles

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